An Existence Result for Fractional Integro-Differential Equations in Banach Spaces

被引：0

作者：

Wahash, H. A. ^{[1
]}

Abdo, Mohammed S. ^{[2
]}

Panchal, Satish K. ^{[2
]}

机构：

[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, MS, India

[2] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Math, Aurangabad 431004, MS, India

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2019年 / 13卷 / 03期

关键词：

Integro-differential equations; fractional derivative and integral; Krasnoselskii fixed point theorem; UNIQUENESS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a class of nonlinear fractional integro-differential equations with fractional derivative of Caputo sense. We shall rely on the Krasnoselskii fixed point theorem to obtain the existence result in Banach spaces. Moreover, one of Krasnoselskii-Krein conditions is applied to establish the result. Finally, an illustrative example is also presented.

引用

页码：19 / 33

页数：15

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